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151956960 = 2535316577
BaseRepresentation
bin10010000111010…
…10110111100000
3101120221012202120
421003222313200
5302400110320
623024544240
73523420131
oct1103526740
9346835676
10151956960
1178859571
1242a82080
132563587c
1416277c88
15d519440
hex90eade0

151956960 has 48 divisors (see below), whose sum is σ = 478665936. Its totient is φ = 40521728.

The previous prime is 151956953. The next prime is 151956971. The reversal of 151956960 is 69659151.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157809 + ... + 158768.

It is an arithmetic number, because the mean of its divisors is an integer number (9972207).

Almost surely, 2151956960 is an apocalyptic number.

151956960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151956960 is an abundant number, since it is smaller than the sum of its proper divisors (326708976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151956960 is a wasteful number, since it uses less digits than its factorization.

151956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316595 (or 316587 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 151956960 is about 12327.0823798659. The cubic root of 151956960 is about 533.6299530564.

It can be divided in two parts, 15195 and 6960, that added together give a triangular number (22155 = T210).

The spelling of 151956960 in words is "one hundred fifty-one million, nine hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 316577 633154 949731 1266308 1582885 1899462 2532616 3165770 3798924 4748655 5065232 6331540 7597848 9497310 10130464 12663080 15195696 18994620 25326160 30391392 37989240 50652320 75978480 151956960